Above are papers related to the following paper: [Paper_ID] Paper #1121603. 	[Title] Analytic Comparison of Nonlinear H 1 -Norm Bounding Techniques for Low Order Systems with Saturation [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #80515. 	[Title] On the Computation of the Induced L 2 Norm of Single Input Linear Systems with Saturation [Abstract]  Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #1153097. 	[Title]  [Abstract] A General Result on the Stabilization of Linear Systems Using Bounded Controls 1 ABSTRACT We present two constructions of controllers that globally stabilize linear systems subject to control saturation. We allow essentially arbitrary saturation functions. The only conditions imposed on the system are the obvious necessary ones, namely that no eigenvalues of the uncontrolled system have positive real part and that the standard stabilizability rank condition hold. One of the constructions is in terms of a "neural-network type" one-hidden layer architecture, while the other one is in terms of cascades of linear maps and saturations. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #80491. 	[Title] References Linear Controller Design, Limits of Performance, "The parallel projection operators of a nonlinear feedback [Abstract] 13] Yang, Y., H.J. Sussmann, and E.D. Sontag, "Stabilization of linear systems with bounded controls," in Proc. Nonlinear Control Systems Design Symp., Bordeaux, June 1992 (M. Fliess, Ed.), IFAC Publications, pp. 15-20. Journal version to appear in IEEE Trans. Autom. Control . Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #7532. 	[Title] On Finite Gain Stabilizability of Linear Systems Subject to Input Saturation [Abstract] This paper deals with (global) finite-gain input/output stabilization of linear systems with saturated controls. For neutrally stable systems, it is shown that the linear feedback law suggested by the passivity approach indeed provides stability, with respect to every L p -norm. Explicit bounds on closed-loop gains are obtained, and they are related to the norms for the respective systems without saturation. These results do not extend to the class of systems for which the state matrix has eigenvalues on the imaginary axis with nonsimple (size &gt; 1) Jordan blocks, contradicting what may be expected from the fact that such systems are globally asymptotically stabilizable in the state-space sense; this is shown in particular for the double integrator. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #7537. 	[Title] Global Stabilization of Linear Discrete-Time Systems with Bounded Feedback [Abstract] This paper deals with the problem of global stabilization of linear discrete time systems by means of bounded feedback laws. The main result proved is an analog of one proved for the continuous time case by the authors, and shows that such stabilization is possible if and only if the system is stabilizable with arbitrary controls and the transition matrix has spectral radius less or equal to one. The proof provides in principle an algorithm for the construction of such feedback laws, which can be implemented either as cascades or as parallel connections ("single hidden layer neural networks") of simple saturation functions. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #141171. 	[Title] New Characterizations of Input to State Stability [Abstract] We present new characterizations of the Input to State Stability property. As a consequence of these results, we show the equivalence between the ISS property and several (apparent) variations proposed in the literature. Please summarise all the given information.

Above are papers related to the following paper: [Paper_ID] Paper #314459. 	[Title] Input-Output Analysis of Feedback Loops with Saturation Nonlinearities [Abstract]  Please summarise all the given information.

Paper #1121603 has the title `Analytic Comparison of Nonlinear H 1 -Norm Bounding Techniques for Low Order Systems with Saturation  
` and the abstract `nan`.
Question: Which category should Paper #1121603 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].


Paper #1121603 has the title `Analytic Comparison of Nonlinear H 1 -Norm Bounding Techniques for Low Order Systems with Saturation  
` and the abstract `nan`.
Question: Which category should Paper #1121603 be classified as ?
You can select one from ['Neural_Networks', 'Case_Based', 'Theory', 'Reinforcement_Learning', 'Probabilistic_Methods', 'Rule_Learning', 'Genetic_Algorithms'].

This paper should be classified into: Neural_Networks