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                                                                     EXHIBIT 4.4

THIS WARRANT AND THE SECURITIES ISSUABLE UPON THE EXERCISE HEREOF HAVE NOT BEEN
REGISTERED UNDER THE SECURITIES ACT OF 1933. THEY MAY NOT BE SOLD, OFFERED FOR
SALE, PLEDGED, HYPOTHECATED OR OTHERWISE TRANSFERRED EXCEPT PURSUANT TO AN
EFFECTIVE REGISTRATION STATEMENT UNDER THE SECURITIES ACT OF 1933, OR AN OPINION
OF COUNSEL SATISFACTORY TO THE COMPANY THAT REGISTRATION IS NOT REQUIRED UNDER
SUCH ACT OR UNLESS SOLD PURSUANT TO RULE 144 UNDER SUCH ACT.


                             STOCK PURCHASE WARRANT

This Stock Purchase Warrant (this "Warrant"), dated September 27, 2001, is
issued to FROST NATIONAL BANK, CUSTODIAN, FBO RENAISSANCE US GROWTH & INCOME
TRUST PLC, a public limited company registered in England and Wales (the
"Holder"), by INTEGRATED SECURITY SYSTEMS, INC., a Delaware corporation (the
"Company").

         1. Purchase of Shares. Subject to the terms and conditions hereinafter
set forth, the Holder is entitled, upon surrender of this Warrant at the
principal office of the Company (or at such other place as the Company shall
notify the holder hereof in writing), to purchase from the Company 150,000 fully
paid and non-assessable shares of Common Stock, no par value (the "Common
Stock"), of the Company (as adjusted pursuant to Section 6 hereof, the "Shares")
for the purchase price specified in Section 2 below.

         2. Purchase Price. The purchase price for the Shares is $0.20 per
share. Such price shall be subject to adjustment pursuant to Section 6 hereof
(such price, as adjusted from time to time, is herein referred to as the
"Warrant Price").

         3. Exercise Period. This Warrant is exercisable in whole or in part at
any time from the date hereof through September 27, 2006.

         4. Method of Exercise. While this Warrant remains outstanding and
exercisable in accordance with Section 3 above, the Holder may exercise, in
whole or in part, the purchase rights evidenced hereby. Such exercise shall be
effected by:

            (a) surrender of this Warrant, together with a duly executed copy of
the form of Exercise Notice attached hereto, to the Secretary of the Company at
its principal offices, and the payment to the Company of an amount equal to the
aggregate purchase price for the number of Shares being purchased; or

            (b) if the Company's Common Stock is publicly traded as of such
date, the instruction to retain that number of Shares having a value equal to
the aggregate exercise price of the Shares as to which this Warrant is being
exercised and to issue to the Holder the remainder of such Shares computed using
the following formula:


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                      Y(A-B)
                  X = ------
                         A

Where:            X = the number of shares of Common Stock to be issued to the
                      Holder.

                  Y = the number of shares of Common Stock as to which this
                      Warrant is being exercised.

                  A = the fair market value of one share of Common Stock.

                  B = the Warrant Price.

        As used herein, the "fair market value of one share of Common Stock"
shall mean:

                      (1) Except in the circumstances described in clause (2) or
(3) hereof, the closing price of the Company's Common Stock, as reported in the
Wall Street Journal, on the trading day immediately prior to the date of
exercise;

                      (2) If such exercise is in conjunction with a merger,
acquisition or other consolidation pursuant to which the Company is not the
surviving entity, the value received by the holders of the Common Stock pursuant
to such transaction for each share; or

                      (3) If such exercise is in conjunction with the initial
public offering of the Company, the price at which the Common Stock is sold to
the public in such offering.

         5. Certificates for Shares. Upon the exercise of the purchase rights
evidenced by this Warrant, one or more certificates for the number of Shares so
purchased shall be issued as soon as practicable thereafter, and in any event
within thirty (30) days of the delivery of the subscription notice.

         6. Reservation of Shares. The Company covenants that it will at all
times keep available such number of authorized shares of its Common Stock, free
from all preemptive rights with respect thereto, which will be sufficient to
permit the exercise of this Warrant for the full number of Shares specified
herein. The Company further covenants that such Shares, when issued pursuant to
the exercise of this Warrant, will be duly and validly issued, fully paid and
non-assessable and free from all taxes, liens and charges with respect to the
issuance thereof.

         7. Adjustment of Warrant Price and Number of Shares. The number and
kind of securities purchasable upon exercise of this Warrant and the Warrant
Price shall be subject to adjustment from time to time as follows:


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                  (a) Stock Dividends, Subdivisions, Combinations and Other
Issuances. If the Company shall at any time prior to the expiration of this
Warrant subdivide its Common Stock, by stock split or otherwise, combine its
Common Stock or issue additional shares of its Common Stock as a dividend with
respect to any shares of its Common Stock, the number of Shares issuable on the
exercise of this Warrant shall forthwith be proportionately increased in the
case of a subdivision or stock dividend and proportionately decreased in the
case of a combination. Appropriate adjustments shall also be made to the
purchase price payable per share, but the aggregate purchase price payable for
the total number of Shares purchasable under this Warrant (as adjusted) shall
remain the same. Any adjustment under this Section 7 shall become effective at
the close of business on the date the subdivision or combination becomes
effective or as of the record date of such dividend, or, in the event that no
record date is fixed, upon the making of such dividend.

                  (b) Reclassification, Reorganization, Merger, Sale or
Consolidation. In the event of any reclassification, capital reorganization or
other change in the Common Stock of the Company (other than as a result of a
subdivision, combination or stock dividend provided for in Section 7 above) or
in the event of a consolidation or merger of the Company with or into, or the
sale of all or substantially all of the properties and assets of the Company, to
any person, and in connection therewith consideration is payable to holders of
Common Stock in cash, securities or other property, then as a condition of such
reclassification, reorganization or change, consolidation, merger or sale,
lawful provision shall be made, and duly executed documents evidencing the same
shall be delivered to the Holder, so that the Holder shall have the right at any
time prior to the expiration of this Warrant to purchase, at a total price equal
to that payable upon the exercise of this Warrant immediately prior to such
event, the kind and amount of cash, securities or other property receivable in
connection with such reclassification, reorganization or change, consolidation,
merger or sale, by a holder of the same number of shares of Common Stock as were
exercisable by the Holder immediately prior to such reclassification,
reorganization or change, consolidation, merger or sale. In any such case,
appropriate provisions shall be made with respect to the rights and interest of
the Holder so that the provisions hereof shall thereafter be applicable with
respect to any cash, securities or property deliverable upon exercise hereof.
Notwithstanding the foregoing, (i) if the Company merges or consolidates with,
or sells all or substantially all of its property and assets to, any other
person, and consideration is payable to holders of Common Stock in exchange for
their Common Stock in connection with such merger, consolidation or sale which
consists solely of cash, or (ii) in the event of the dissolution, liquidation or
winding up of the Company, then the Holder shall be entitled to receive
distributions on the date of such event on an equal basis with holders of Common
Stock as if this Warrant had been exercised immediately prior to such event,
less the Warrant Price. Upon receipt of such payment, if any, the rights of the
Holder shall terminate and cease, and this Warrant shall expire. In case of any
such merger, consolidation or sale of assets, the surviving or acquiring person
and, in the event of any dissolution, liquidation or winding up of the Company,
the Company shall promptly, after receipt of this surrendered Warrant, make
payment by delivering a check in such amount as is appropriate (or, in the case
of consideration other than cash, such other consideration as is appropriate) to
such person as it may be directed in writing by the Holder surrendering this
Warrant.


                                  Page 3 of 5
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                  (c) Certain Distributions. In case the Company shall fix a
record date for the making of a dividend or distribution of cash, securities or
property to all holders of Common Stock (excluding any dividends or
distributions referred to in Sections 7 or 7(a) above, the number of Shares
purchasable upon an exercise of this Warrant after such record date shall be
adjusted to equal the product obtained by multiplying the number of Shares
purchasable upon an exercise of this Warrant immediately prior to such record
date by a fraction, the numerator of which shall be the Warrant Price
immediately prior to such distribution, and the denominator of which shall be
the Warrant Price immediately prior to such distribution, less the fair market
value per Share, as determined by the Holder, of the cash, securities or
property so distributed. Such adjustment shall be made successively whenever any
such distribution is made and shall become effective on the effective date of
distribution.

         8. Pre-Exercise Rights. Prior to exercise of this Warrant, the Holder
shall not be entitled to any rights of a shareholder with respect to the Shares,
including without limitation, the right to vote such Shares, receive preemptive
rights or be notified of shareholder meetings, and the Holder shall not be
entitled to any notice or other communication concerning the business or affairs
of the Company.

         9. Restricted Securities. The Holder understands that this Warrant and
the Shares purchasable hereunder constitute "restricted securities" under the
federal securities laws inasmuch as they are being, or will be, acquired from
the Company in transactions not involving a public offering and accordingly may
not, under such laws and applicable regulations, be resold or transferred
without registration under the Securities Act of 1933, as amended, or an
applicable exemption from registration. In this connection, the Holder
acknowledges that Rule 144 of the Securities and Exchange Commission is not now,
and may not in the future be, available for resales of the Shares purchased
hereunder. The Holder further acknowledges that the Shares and any other
securities issued upon exercise of this Warrant shall bear a legend
substantially in the form of the legend appearing on the face hereof.

         10. Certification of Investment Purpose. Unless a current registration
statement under the Securities Act of 1933, as amended, shall be in effect with
respect to the securities to be issued upon exercise of this Warrant, the Holder
hereof, by accepting this Warrant, covenants and agrees that, at the time of
exercise hereof, the Holder will deliver to the Company a written certification
that the securities acquired by the Holder are acquired for investments purposes
only and that such securities are not acquired with a view to, or for sale in
connection with, any distribution thereof.

         11. Registration Rights. This Warrant and the Shares shall be subject
to the registration rights set forth in the Registration Rights Agreement of
even date herewith by and among the Holder and the Company, and the Holder shall
be entitled to all rights and benefits thereof.

         12. Successors and Assigns. The terms and provisions of this Warrant
shall inure to the benefit of, and be binding upon, the Company and the Holder
and their respective successors and assigns.


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         13. Governing Law. This Warrant shall be governed by the laws of the
State of Texas, excluding the conflicts of laws provisions thereof.


                                           INTEGRATED SECURITY SYSTEMS, INC.



                                       By:
                                            ------------------------------------
                                            C. A. Rundell, Jr.
                                            Chairman and Chief Executive Officer


                                  Page 5 of 5

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                                 EXERCISE NOTICE


                                                           Dated          ,
                                                                 ---------  ----

         The undersigned hereby irrevocably elects to exercise the Stock
Purchase Warrant, dated September 27, 2001, issued by INTEGRATED SECURITY
SYSTEMS, INC., a Delaware corporation (the "Company") to the undersigned to the
extent of purchasing ___________ shares of Common Stock and hereby makes payment
of $_________ in payment of the aggregate Warrant Price of such Shares.

                                               RENAISSANCE US GROWTH & INCOME
                                               TRUST PLC


                                               By:
                                                  ------------------------------