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SCL
2008

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The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle

13 years 11 months ago

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We give a simple proof of the Maximum Principle for smooth hybrid control systems by reducing the hybrid problem to an optimal control problem of Pontryagin type and then by using...

A. V. Dmitruk, A. M. Kaganovich

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Id	Views	Title	Status

1	254	The Hybrid Maximum Principle is a consequence of Pontryagin Maximum Principle	claim
2	150	Interconnection of Kronecker canonical form and special coordinate basis of multivariable linear systems	claim
3	130	Exponential stability of impulsive systems with application to uncertain sampled-data systems	claim
4	123	Stabilization of symmetric formations to motion around convex loops	claim
5	113	Modular design of nonlinear observers for state and disturbance estimation	claim
6	109	A note on linear function approximation using random projections	claim
7	108	On input-to-state stability of min-max nonlinear model predictive control	claim
8	106	Output-feedback control for stabilization on SE(3)	claim
9	105	Computation of nonlinear balanced realization and model reduction based on Taylor series expansion	claim
10	104	Global optimal attitude estimation using uncertainty ellipsoids	claim
11	104	Approximate controllability of a reaction-diffusion system	claim
12	104	Stabilization of nonlinear systems via the center manifold approach	claim
13	101	Stability of nonlinear asynchronous systems	claim
14	100	A search for positive storage functions	claim
15	96	Min-Max MPC based on a network problem	claim
16	95	Performance bounds in linear control of unstable MIMO systems with pole location constraint	claim
17	95	Approximate reduction of dynamic systems	claim
18	95	Regular implementation in the space of compactly supported functions	claim
19	95	Model validation for IQC uncertain systems with fixed initial conditions	claim
20	89	Cascade estimators for systems on a partial order	claim
21	87	Stabilizability of two-dimensional linear systems via switched output feedback	claim
22	86	Control design in the time and frequency domain using nonsmooth techniques	claim
23	82	An efficient algorithm for positive realizations	claim
24	79	Stability of block-triangular stationary random matrices	claim
25	77	Integral Input to State Stable systems in cascade	claim
26	76	Probabilistic output admissible set for systems with time-varying uncertainties	claim
27	75	Noise suppresses or expresses exponential growth	claim
28	75	Stabilization of a Boussinesq system of KdV-KdV type	claim
29	75	A Kalman decomposition for robustly unobservable uncertain linear systems	claim
30	69	On the peaking phenomenon in the control of vehicular platoons	claim
31	68	Nonuniform in time state estimation of dynamic systems	claim
32	66	Epi-Lipschitzian reachable sets of differential inclusions	claim
33	66	Equivalence of state representations for hidden Markov models	claim
34	66	Practical encoders for controlling nonlinear systems under communication constraints	claim
35	62	Nuclearity of Hankel operators for ultradifferentiable control systems	claim
36	61	Stabilization of fixed modes in expansions of LTI systems	claim
37	57	Local dissipative Hamiltonian description of reversible reaction networks	claim
38	56	A new vertex result for robustness problems with interval matrix uncertainty	claim
39	48	Stabilisation of hybrid stochastic differential equations by delay feedback control	claim

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