Title : 
On the weak stability of a class of heat conduction systems
         
        
        
            Author_Institution : 
University of the Negev, Beer-Sheva, Israel
         
        
        
        
        
            fDate : 
4/1/1973 12:00:00 AM
         
        
        
        
            Abstract : 
A class of heat conduction systems is dealt with. The class is represented by a one-dimensional distributed parameter feedback system with a multiplicative gain that is a Gaussian white noise. Sufficient conditions, for weak stability of the system´s solutions, are derived.
         
        
            Keywords : 
Distributed systems, stochastic; Heat conduction systems; Stability; Thermal variables control; Control systems; Eigenvalues and eigenfunctions; Equations; Feedback; Gaussian noise; Gaussian processes; Linear systems; Optimal control; Stability criteria; White noise;
         
        
        
            Journal_Title : 
Automatic Control, IEEE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TAC.1973.1100266